A235261 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise

256, 2400, 2400, 22500, 75744, 22500, 162000, 2691067, 2691067, 162000, 1166400, 64470056, 417967682, 64470056, 1166400, 7157160, 1538378437, 41170730836, 41170730836, 1538378437, 7157160, 43917129, 27988093692, 3998547995093

Offset

1,1

Comments

Table starts

.....256........2400...........22500..............162000..............1166400

....2400.......75744.........2691067............64470056...........1538378437

...22500.....2691067.......417967682.........41170730836........3998547995093

..162000....64470056.....41170730836......16811907001604.....6760603592133043

.1166400..1538378437...3998547995093....6760603592133043.11272050100248562624

.7157160.27988093692.282203684810984.1943970843613005622

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Formula

Empirical for column k:

k=1: [linear recurrence of order 40]

Example

Some solutions for n=2 k=4
..0..0..2..0..2....0..0..0..1..3....0..0..0..2..2....0..0..2..2..2
..1..0..2..0..3....1..0..1..0..0....0..0..2..0..3....0..0..1..0..3
..1..0..3..2..0....2..0..3..0..0....0..0..3..3..3....1..0..1..0..1

Crossrefs

Column 1 is A204303

Sequence in context: A205020 A204309 A235416 * A236087 A204303 A236083

Adjacent sequences: A235258 A235259 A235260 * A235262 A235263 A235264

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 05 2014

Status

approved